1.

The given graph represents the variation of Z (compressibility factor =(PV)/(nRT)) versus P, for three real gases A,B and C. Identify the only incorrect statement.

Answer»

For the gas A,a=0 and its dependence on P is linear at all pressures
For the gas B, b=0 and its dependence on P is linear at all pressures.
For the gas C, which is typical real gas for which neither a=0 nor b=0. By knowing the minima and the point of INTERSECTION, with Z=1, a and b can be calculated.
At high pressure, the slope is positive for all real gases.

Solution :Vander Waals. EQUATION is
`(P+a/(V^(2)))(V-b)=RT`
When `a=0,P(V-b)=RT` or `PV=RT+Pb`
i.e. `Z=1+(Pb)/(RT)`. Thus `Zgt1` and INCREASES with INCREASE of pressure. Hence a is correct.
When `b=0(P+a/(V^(2)))V=RT` or `PV+a/V=RT`
i.e. `Z=1-a/(RTV)`. Thus `Zlt1` and decreases with increase of pressure.Hence b is correct.
Statement d is also correct.


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